Question
$$10x+5 = 7x-3$$
Answer
$$ x = -\dfrac{8}{3} $$
Explanation
$$ \begin{aligned} 10x+5 &= 7x-3&& \text{move the $ \color{blue}{ 7x } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]10x-7x &= -3-5&& \text{simplify left and right hand side} \\[1 em]3x &= -8&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= -\frac{8}{3}&& \\[1 em] \end{aligned} $$
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